Details

Time bar (total: 2.5s)

analyze345.0ms (13.6%)

Algorithm
1×search
2×egg-herbie
Rules
4×associate-/r/_binary64 associate-/l*_binary64 *-commutative_binary64 +-commutative_binary64
0×not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-pow_binary64 log-rec_binary64 log-div_binary64 log-prod_binary64 pow-base-0_binary64 unpow1/3_binary64 unpow3_binary64 unpow2_binary64 unpow1/2_binary64 pow-plus_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow1_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 exp-prod_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 exp-sum_binary64 e-exp-1_binary64 1-exp_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-unmult_binary64 cube-mult_binary64 cube-div_binary64 cube-prod_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-sqrt-square_binary64 rem-square-sqrt_binary64 times-frac_binary64 div-sub_binary64 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 sub-neg_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 *-rgt-identity_binary64 *-lft-identity_binary64 remove-double-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 pow-sqr_binary64 sqr-pow_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 unswap-sqr_binary64 swap-sqr_binary64 cancel-sign-sub-inv_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-neg-in_binary64 distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64 distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-rgt-out--_binary64 distribute-rgt-out_binary64 distribute-lft-out--_binary64 distribute-lft-out_binary64 distribute-rgt-in_binary64 distribute-lft-in_binary64 count-2_binary64 associate-/l/_binary64 associate-/r*_binary64 associate-*l/_binary64 associate-*r/_binary64 associate-*l*_binary64 associate-*r*_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+l-_binary64 associate-+r-_binary64 associate-+l+_binary64 associate-+r+_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01540
12740
23340
33740
43740
033
133
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
18.7%81.1%0.1%7
21.8%78%0.1%8
27.3%67.1%5.6%9
41%50.3%8.7%10
43.9%47%9.1%11
48.3%38%13.7%12
56.3%27.4%16.2%13
58.2%25.4%16.4%14
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample18.0ms (0.7%)

Algorithm
1×intervals
Results
7.0ms256×body128valid
1.0ms21×body128invalid
Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify9.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
1×associate-/r/_binary64 associate-/l*_binary64 *-commutative_binary64 +-commutative_binary64
0×not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-pow_binary64 log-rec_binary64 log-div_binary64 log-prod_binary64 pow-base-0_binary64 unpow1/3_binary64 unpow3_binary64 unpow2_binary64 unpow1/2_binary64 pow-plus_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow1_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 exp-prod_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 exp-sum_binary64 e-exp-1_binary64 1-exp_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-unmult_binary64 cube-mult_binary64 cube-div_binary64 cube-prod_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-sqrt-square_binary64 rem-square-sqrt_binary64 times-frac_binary64 div-sub_binary64 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 sub-neg_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 *-rgt-identity_binary64 *-lft-identity_binary64 remove-double-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 pow-sqr_binary64 sqr-pow_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 unswap-sqr_binary64 swap-sqr_binary64 cancel-sign-sub-inv_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-neg-in_binary64 distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64 distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64 distribute-rgt-out--_binary64 distribute-rgt-out_binary64 distribute-lft-out--_binary64 distribute-lft-out_binary64 distribute-rgt-in_binary64 distribute-lft-in_binary64 count-2_binary64 associate-/l/_binary64 associate-/r*_binary64 associate-*l/_binary64 associate-*r/_binary64 associate-*l*_binary64 associate-*r*_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+l-_binary64 associate-+r-_binary64 associate-+l+_binary64 associate-+r+_binary64
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11010
21210
31310
41310

prune1.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
4.6b
Counts
1 → 1
Compiler

Compiled 7 to 6 computations (14.3% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 x (/.f64 (*.f64 y y) z))
8.6b
(/.f64 (*.f64 y y) z)

rewrite42.0ms (1.6%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
7×add-exp-log_binary64 add-cbrt-cube_binary64
6×*-un-lft-identity_binary64
4×add-log-exp_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
3×times-frac_binary64 associate-/r*_binary64
2×pow1_binary64 div-exp_binary64 cbrt-undiv_binary64
1×prod-exp_binary64 cbrt-unprod_binary64 frac-2neg_binary64 clear-num_binary64 div-inv_binary64 associate-/l*_binary64 sum-log_binary64 flip3-+_binary64 flip-+_binary64 distribute-lft-out_binary64 +-commutative_binary64
Counts
2 → 33
Calls

2 calls:

8.0ms
(/.f64 (*.f64 y y) z)
5.0ms
(+.f64 x (/.f64 (*.f64 y y) z))
Compiler

Compiled 434 to 124 computations (71.4% saved)

series57.0ms (2.2%)

Error
4.0b
Counts
2 → 24
Calls

2 calls:

35.0ms
(+.f64 x (/.f64 (*.f64 y y) z))
19.0ms
(/.f64 (*.f64 y y) z)
Compiler

Compiled 248 to 259 computations (-4.4% saved)

simplify110.0ms (4.4%)

Algorithm
1×egg-herbie
Rules
384×cancel-sign-sub-inv_binary64
296×div-sub_binary64
284×distribute-rgt-out_binary64
269×*-commutative_binary64
187×associate-/l*_binary64
185×unswap-sqr_binary64
179×distribute-rgt-in_binary64
166×times-frac_binary64
164×distribute-rgt-neg-in_binary64
161×distribute-lft-neg-in_binary64
154×sub-neg_binary64
152×distribute-lft-in_binary64
150×distribute-lft-out_binary64
144×neg-mul-1_binary64
138×associate-*l/_binary64
129×associate-/l/_binary64
115×associate-*r/_binary64
110×distribute-neg-frac_binary64
99×associate-+l+_binary64
87×unsub-neg_binary64
84×distribute-rgt-out--_binary64 associate-+r+_binary64
81×associate-*l*_binary64
72×associate-/r*_binary64
68×associate-/r/_binary64
67×associate-*r*_binary64
61×sqr-pow_binary64
59×log-prod_binary64
57×neg-sub0_binary64
41×distribute-neg-in_binary64
40×cube-prod_binary64
39×+-commutative_binary64
37×unpow3_binary64
36×distribute-lft-out--_binary64 associate-+l-_binary64
29×log-div_binary64 cube-div_binary64
28×associate--l-_binary64
27×cube-mult_binary64 distribute-lft-neg-out_binary64
22×swap-sqr_binary64
21×pow-plus_binary64 associate--l+_binary64
17×log-pow_binary64 associate-+r-_binary64
15×exp-prod_binary64 distribute-neg-out_binary64
14×sub0-neg_binary64
13×associate--r+_binary64
12×distribute-rgt-neg-out_binary64
11×+-rgt-identity_binary64
10×cube-unmult_binary64
9×*-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 associate--r-_binary64
7×/-rgt-identity_binary64 *-rgt-identity_binary64
6×div0_binary64 pow-sqr_binary64
5×remove-double-neg_binary64 --rgt-identity_binary64
4×exp-sum_binary64 difference-of-squares_binary64 distribute-frac-neg_binary64
3×count-2_binary64
2×log-rec_binary64 unpow2_binary64 cancel-sign-sub_binary64 distribute-rgt1-in_binary64
1×unpow1/2_binary64 unpow1_binary64 prod-exp_binary64 exp-diff_binary64 1-exp_binary64 sqr-neg_binary64 rem-sqrt-square_binary64 distribute-lft1-in_binary64
0×not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 pow-base-0_binary64 unpow1/3_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 div-exp_binary64 rec-exp_binary64 exp-neg_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 rem-square-sqrt_binary64 mul-1-neg_binary64 +-lft-identity_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64
Counts
57 → 37
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
068578
1170551
2449551
31548551
42831551
54508551
64962551
74877551

prune12.0ms (0.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New35237
Fresh000
Picked011
Done000
Total35338
Error
0.0b
Counts
38 → 3
Compiler

Compiled 216 to 75 computations (65.3% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 x (*.f64 y (/.f64 y z)))
0.2b
(*.f64 y (/.f64 y z))

rewrite53.0ms (2.1%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
15×add-sqr-sqrt_binary64
13×associate-*r*_binary64
10×add-cube-cbrt_binary64 *-un-lft-identity_binary64 times-frac_binary64
7×add-exp-log_binary64 add-cbrt-cube_binary64
4×pow1_binary64 add-log-exp_binary64
3×associate-*l*_binary64
2×prod-exp_binary64 cbrt-unprod_binary64 unswap-sqr_binary64
1×pow-prod-down_binary64 div-exp_binary64 cbrt-undiv_binary64 associate-*r/_binary64 div-inv_binary64 *-commutative_binary64 sum-log_binary64 flip3-+_binary64 flip-+_binary64 +-commutative_binary64
Counts
2 → 43
Calls

2 calls:

7.0ms
(*.f64 y (/.f64 y z))
3.0ms
(+.f64 x (*.f64 y (/.f64 y z)))
Compiler

Compiled 597 to 173 computations (71% saved)

series55.0ms (2.2%)

Error
0.0b
Counts
2 → 24
Calls

2 calls:

36.0ms
(+.f64 x (*.f64 y (/.f64 y z)))
17.0ms
(*.f64 y (/.f64 y z))
Compiler

Compiled 248 to 259 computations (-4.4% saved)

simplify100.0ms (3.9%)

Algorithm
1×egg-herbie
Rules
477×unswap-sqr_binary64
418×associate-/r/_binary64
292×associate-*l*_binary64
251×distribute-rgt-in_binary64
238×associate-*r*_binary64
232×associate-/l*_binary64
228×distribute-lft-in_binary64
195×associate-*l/_binary64
183×times-frac_binary64
180×associate-*r/_binary64
120×associate-+l+_binary64
114×sub-neg_binary64
104×associate-+r+_binary64
93×log-prod_binary64
92×unsub-neg_binary64 distribute-rgt-neg-in_binary64
90×div-sub_binary64
87×associate-/l/_binary64
85×*-commutative_binary64
84×sqr-pow_binary64
79×cancel-sign-sub-inv_binary64
77×distribute-rgt-out_binary64
70×*-lft-identity_binary64
66×*-rgt-identity_binary64 associate-/r*_binary64
64×distribute-lft-neg-in_binary64
58×cube-prod_binary64 neg-mul-1_binary64
56×neg-sub0_binary64
55×distribute-neg-frac_binary64
49×log-div_binary64
37×+-commutative_binary64
36×cube-div_binary64
34×exp-prod_binary64
29×distribute-lft-neg-out_binary64
27×distribute-lft-out_binary64 associate-+l-_binary64
25×/-rgt-identity_binary64
18×unpow3_binary64 associate--l+_binary64 associate-+r-_binary64
17×pow-sqr_binary64
15×distribute-rgt-out--_binary64
14×swap-sqr_binary64
13×log-pow_binary64 log-rec_binary64
12×sub0-neg_binary64 +-rgt-identity_binary64
11×distribute-rgt-neg-out_binary64 associate--r+_binary64
10×pow-plus_binary64 cube-unmult_binary64 mul0-rgt_binary64 mul0-lft_binary64
9×cube-mult_binary64
8×distribute-neg-in_binary64
7×remove-double-div_binary64
6×div0_binary64
4×exp-sum_binary64 rem-sqrt-square_binary64 distribute-lft-out--_binary64
3×unpow1/2_binary64 count-2_binary64 associate--l-_binary64
2×difference-of-squares_binary64
1×unpow2_binary64 unpow1_binary64 prod-exp_binary64 1-exp_binary64 exp-1-e_binary64 rem-square-sqrt_binary64 remove-double-neg_binary64 --rgt-identity_binary64 +-inverses_binary64 associate--r-_binary64
0×not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 pow-base-0_binary64 unpow1/3_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 div-exp_binary64 rec-exp_binary64 exp-diff_binary64 exp-neg_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-neg_binary64 rem-3cbrt-rft_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 mul-1-neg_binary64 +-lft-identity_binary64 *-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 cancel-sign-sub_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-rgt1-in_binary64 distribute-lft1-in_binary64
Counts
67 → 49
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
086704
1221659
2700656
32105648
44021648
54985648
64957648

prune21.0ms (0.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New47249
Fresh011
Picked011
Done011
Total47552
Error
0.0b
Counts
52 → 5
Compiler

Compiled 367 to 131 computations (64.3% saved)

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
0.6b
(cbrt.f64 y)
0.6b
(cbrt.f64 y)
0.6b
(cbrt.f64 y)

rewrite74.0ms (2.9%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
25×cbrt-prod_binary64
23×add-sqr-sqrt_binary64
15×add-cube-cbrt_binary64 *-un-lft-identity_binary64
11×pow1_binary64
9×pow1/3_binary64
6×add-exp-log_binary64 swap-sqr_binary64 associate-*l*_binary64 associate-*r*_binary64
4×add-log-exp_binary64 add-cbrt-cube_binary64 unswap-sqr_binary64
2×pow-prod-down_binary64 pow-prod-up_binary64 pow-sqr_binary64
1×pow2_binary64 pow-plus_binary64 prod-exp_binary64 cbrt-unprod_binary64 *-commutative_binary64
Counts
4 → 73
Calls

4 calls:

6.0ms
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
2.0ms
(cbrt.f64 y)
1.0ms
(cbrt.f64 y)
1.0ms
(cbrt.f64 y)
Compiler

Compiled 1283 to 302 computations (76.5% saved)

series78.0ms (3.1%)

Error
0.0b
Counts
4 → 12
Calls

4 calls:

19.0ms
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
18.0ms
(cbrt.f64 y)
16.0ms
(cbrt.f64 y)
16.0ms
(cbrt.f64 y)
Compiler

Compiled 532 to 379 computations (28.8% saved)

simplify105.0ms (4.1%)

Algorithm
1×egg-herbie
Rules
586×log-prod_binary64
416×sqr-pow_binary64
335×associate-*l*_binary64
309×*-commutative_binary64
277×distribute-rgt-neg-in_binary64
257×distribute-lft-neg-in_binary64
227×associate-*r*_binary64
188×exp-prod_binary64
161×log-pow_binary64
149×cube-prod_binary64
128×pow-sqr_binary64
124×unswap-sqr_binary64
111×swap-sqr_binary64
104×associate-/l*_binary64
81×cancel-sign-sub-inv_binary64
75×associate-+l+_binary64
69×associate-+r+_binary64
61×distribute-rgt-in_binary64
60×distribute-lft-out_binary64
57×distribute-lft-in_binary64
54×neg-sub0_binary64
53×neg-mul-1_binary64
48×distribute-rgt-out_binary64
45×+-commutative_binary64
43×pow-plus_binary64 rem-sqrt-square_binary64
41×times-frac_binary64 sub-neg_binary64
37×associate-/r/_binary64
35×associate-*r/_binary64
32×unpow3_binary64
31×*-rgt-identity_binary64 *-lft-identity_binary64 associate-/l/_binary64
29×count-2_binary64
27×cube-mult_binary64
24×associate-/r*_binary64
17×log-div_binary64 cube-div_binary64 distribute-neg-frac_binary64
13×cube-unmult_binary64 distribute-rgt1-in_binary64
11×distribute-rgt-neg-out_binary64
10×unpow1/2_binary64
9×distribute-lft-neg-out_binary64 distribute-lft1-in_binary64
8×unpow2_binary64 associate-*l/_binary64
5×unpow1_binary64
3×unpow1/3_binary64
2×exp-sqrt_binary64 rem-3cbrt-lft_binary64 rem-cbrt-cube_binary64 mul-1-neg_binary64
1×exp-lft-sqr_binary64 1-exp_binary64 exp-1-e_binary64 rem-3cbrt-rft_binary64 rem-square-sqrt_binary64 sub0-neg_binary64 --rgt-identity_binary64 associate-+l-_binary64
0×not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-rec_binary64 pow-base-0_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-cbrt_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 exp-sum_binary64 e-exp-1_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-neg_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 div-sub_binary64 unsub-neg_binary64 /-rgt-identity_binary64 remove-double-neg_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 cancel-sign-sub_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-neg-in_binary64 distribute-rgt-out--_binary64 distribute-lft-out--_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+r-_binary64
Counts
85 → 50
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
056718
197666
2308646
31135632
42034548
53257548
64939548
74873548

prune27.0ms (1.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New49150
Fresh022
Picked101
Done022
Total50555
Error
0.0b
Counts
55 → 5
Compiler

Compiled 489 to 194 computations (60.3% saved)

localize16.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 y)
0.6b
(cbrt.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)))
0.6b
(cbrt.f64 (cbrt.f64 y))
0.9b
(pow.f64 (cbrt.f64 (cbrt.f64 y)) 4)

rewrite85.0ms (3.3%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
22×cbrt-prod_binary64
11×add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64
9×unpow-prod-down_binary64
5×pow1_binary64 add-exp-log_binary64
4×pow1/3_binary64 add-log-exp_binary64 add-cbrt-cube_binary64
3×pow-unpow_binary64
2×pow-pow_binary64
1×pow-to-exp_binary64 pow-exp_binary64 sqr-pow_binary64
Counts
4 → 58
Calls

4 calls:

4.0ms
(cbrt.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)))
4.0ms
(pow.f64 (cbrt.f64 (cbrt.f64 y)) 4)
1.0ms
(cbrt.f64 (cbrt.f64 y))
1.0ms
(cbrt.f64 y)
Compiler

Compiled 1491 to 456 computations (69.4% saved)

series105.0ms (4.2%)

Error
0.0b
Counts
4 → 12
Calls

4 calls:

31.0ms
(pow.f64 (cbrt.f64 (cbrt.f64 y)) 4)
27.0ms
(cbrt.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)))
21.0ms
(cbrt.f64 (cbrt.f64 y))
18.0ms
(cbrt.f64 y)
Compiler

Compiled 750 to 521 computations (30.5% saved)

simplify141.0ms (5.6%)

Algorithm
1×egg-herbie
Rules
496×swap-sqr_binary64
454×log-prod_binary64
375×associate-*l*_binary64
339×distribute-rgt-neg-in_binary64
335×distribute-lft-neg-in_binary64
328×cube-prod_binary64
325×associate-*r*_binary64
317×sqr-pow_binary64
170×unpow3_binary64
159×log-pow_binary64
103×pow-plus_binary64
95×neg-mul-1_binary64 neg-sub0_binary64 unswap-sqr_binary64
89×pow-sqr_binary64
84×exp-prod_binary64
78×cancel-sign-sub-inv_binary64
77×distribute-rgt-out_binary64
61×distribute-rgt-in_binary64
53×distribute-lft-in_binary64
51×cube-mult_binary64
48×*-commutative_binary64
37×cube-unmult_binary64
26×rem-sqrt-square_binary64
18×distribute-rgt-neg-out_binary64 associate-/l*_binary64
17×unpow2_binary64 associate-+l+_binary64 associate-+r+_binary64
16×sub-neg_binary64
14×*-rgt-identity_binary64 distribute-lft-neg-out_binary64
12×unpow1/2_binary64 unpow1_binary64
10×*-lft-identity_binary64
8×rem-3cbrt-rft_binary64
7×associate-/l/_binary64
6×count-2_binary64
5×unpow1/3_binary64 distribute-lft-out_binary64
4×mul-1-neg_binary64 associate-*r/_binary64
3×rem-3cbrt-lft_binary64 distribute-rgt1-in_binary64
2×distribute-lft1-in_binary64 associate-/r/_binary64 associate-*l/_binary64
1×1-exp_binary64 rem-cbrt-cube_binary64 times-frac_binary64 /-rgt-identity_binary64 +-commutative_binary64
0×not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same erfc-erf_binary64 erf-erfc_binary64 erf-odd_binary64 if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 not-gte_binary64 not-lte_binary64 not-gt_binary64 not-lt_binary64 gte-same_binary64 lte-same_binary64 gt-same_binary64 lt-same_binary64 sinh---cosh_binary64 sinh-+-cosh_binary64 sinh-cosh_binary64 tanh-def-c_binary64 tanh-def-b_binary64 tanh-def-a_binary64 cosh-def_binary64 sinh-def_binary64 tan-neg_binary64 cos-neg_binary64 sin-neg_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 hang-m-tan_binary64 hang-p-tan_binary64 hang-m0-tan_binary64 hang-p0-tan_binary64 hang-0m-tan_binary64 hang-0p-tan_binary64 tan-+PI/2_binary64 tan-+PI_binary64 tan-PI_binary64 tan-PI/3_binary64 tan-PI/4_binary64 tan-PI/6_binary64 cos-+PI/2_binary64 cos-+PI_binary64 cos-PI_binary64 cos-PI/2_binary64 cos-PI/3_binary64 cos-PI/4_binary64 cos-PI/6_binary64 sin-+PI/2_binary64 sin-+PI_binary64 sin-PI_binary64 sin-PI/2_binary64 sin-PI/3_binary64 sin-PI/4_binary64 sin-PI/6_binary64 sub-1-sin_binary64 sub-1-cos_binary64 -1-add-sin_binary64 -1-add-cos_binary64 1-sub-sin_binary64 1-sub-cos_binary64 cos-sin-sum_binary64 log-E_binary64 log-rec_binary64 log-div_binary64 pow-base-0_binary64 exp-to-pow_binary64 pow-base-1_binary64 unpow0_binary64 unpow-1_binary64 exp-lft-cube_binary64 exp-lft-sqr_binary64 exp-cbrt_binary64 exp-sqrt_binary64 div-exp_binary64 rec-exp_binary64 prod-exp_binary64 exp-diff_binary64 exp-neg_binary64 exp-sum_binary64 e-exp-1_binary64 exp-1-e_binary64 exp-0_binary64 rem-log-exp_binary64 rem-exp-log_binary64 cube-div_binary64 cube-neg_binary64 rem-cube-cbrt_binary64 sqr-abs_binary64 sqr-neg_binary64 rem-square-sqrt_binary64 div-sub_binary64 unsub-neg_binary64 remove-double-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 mul0-rgt_binary64 mul0-lft_binary64 div0_binary64 *-inverses_binary64 +-inverses_binary64 lft-mult-inverse_binary64 rgt-mult-inverse_binary64 remove-double-div_binary64 difference-of-sqr--1_binary64 difference-of-sqr-1_binary64 difference-of-squares_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-neg-in_binary64 distribute-rgt-out--_binary64 distribute-lft-out--_binary64 associate-/r*_binary64 associate--r-_binary64 associate--l-_binary64 associate--l+_binary64 associate--r+_binary64 associate-+l-_binary64 associate-+r-_binary64
Counts
70 → 38
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
085744
1162675
2379666
31699637
43123626
54652626
64977626
74832626

prune29.0ms (1.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New37138
Fresh022
Picked011
Done022
Total37643
Error
0.0b
Counts
43 → 6
Compiler

Compiled 637 to 254 computations (60.1% saved)

regimes339.0ms (13.4%)

Accuracy

Total 0.1b remaining (69.7%)

Threshold costs 0.1b (69.7%)

Compiler

Compiled 3853 to 2582 computations (33% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
1×*-commutative_binary64 +-commutative_binary64
0×not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same if-if-and-not_binary64 if-if-and_binary64 if-if-or-not_binary64 if-if-or_binary64 if-not_binary64 if-same_binary64 if-false_binary64 if-true_binary64 tan-0_binary64 cos-0_binary64 sin-0_binary64 unpow1_binary64 e-exp-1_binary64 1-exp_binary64 exp-1-e_binary64 exp-0_binary64 sqr-abs_binary64 sqr-neg_binary64 neg-mul-1_binary64 neg-sub0_binary64 unsub-neg_binary64 sub-neg_binary64 mul-1-neg_binary64 /-rgt-identity_binary64 *-rgt-identity_binary64 *-lft-identity_binary64 remove-double-neg_binary64 sub0-neg_binary64 --rgt-identity_binary64 +-rgt-identity_binary64 +-lft-identity_binary64 cancel-sign-sub-inv_binary64 cancel-sign-sub_binary64 distribute-neg-frac_binary64 distribute-frac-neg_binary64 distribute-neg-out_binary64 distribute-neg-in_binary64 distribute-rgt-neg-out_binary64 distribute-lft-neg-out_binary64 distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
1910
2910

end1.0ms (0%)

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample691.0ms (27.2%)

Algorithm
1×intervals
Results
219.0ms8000×body128valid
28.0ms915×body128invalid
Compiler

Compiled 110 to 95 computations (13.6% saved)

Profiling

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